SSL and Shared IP Addresses

Hi,
We are looking to run two different CRE Loaded sites on the same IP address. The first site I created a SSL certificate for and everything works as expected. The second site says that an SSL certificate already exists for that IP address. The problem is that on any of the pages on the second site that use https, such as the admin and login pages, they get mixed up with the pages from the first site. Is there a way to prevent this from happening?

Shared SSL certs are if you have multiple websites for one domain, like www.example.com and shop.example.com and mail.example.com. With a shared cert, all three would return a valid certificate authentication. It would avoid having to buy three certs and use three IP addresses.